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# 5.2 terms

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### 5.2 terms

1. 1. Terms of Endearment Bisectors of a Triangle: 5.2
2. 2. Perpendicular Bisector of a Triangle <ul><li>Line, ray or segment that is perpendicular to a side of the triangle at the midpoint of the side </li></ul>
3. 3. Concurrent Lines <ul><li>3 or more lines that intersect in the same point </li></ul>
4. 4. Point of Concurrency <ul><li>Point of intersection of the lines </li></ul>
5. 5. Circumcenter of a Triangle <ul><li>Point of concurrency of the perpendicular bisectors of a triangle </li></ul><ul><li>Acute Triangles – Circumcenter is inside the triangle </li></ul><ul><li>Right Triangles – Circumcenter is on the triangle </li></ul><ul><li>Obtuse Triangles – Circumcenter is outside the triangle </li></ul>
6. 6. Concurrency of Perpendicular Bisectors of a Triangle <ul><li>The perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle </li></ul>
7. 7. Angle Bisector of a Triangle <ul><li>Bisector of an angle of a triangle </li></ul>
8. 8. Incenter of a Triangle <ul><li>Point of concurrency of the angle bisectors of a triangle </li></ul><ul><li>All triangles (acute, right and obtuse) have the incenter located inside the triangle </li></ul>
9. 9. Concurrency of Angle Bisectors of a Triangle <ul><li>The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangles </li></ul>